摘要
将冯康和余德浩提出的自然边界归化方法[1～ 4 ] 应用于求解抛物方程初边值外区域问题 ,提出一种自然边界元与有限元耦合算法。先将控制方程对时间进行离散化 ,得到关于时间步长的离散化格式 ,给出圆外域上的自然积分方程 ,基于此研究抛物方程无界区域问题的自然边界元与有限元耦合法 。
A natural boundary reduction initiated and developed by Feng Kang and Yu Dehao [1～4] is applied to solve the exterior initial boundary value problem of 2D parabolic equation, and a new coupled method of the natural boundary element method (NBEM) and finite element method (FEM) is suggested. The governing equation is first discretized in time, leading to a time stepping scheme. Second, the natural integral equation over circular domain is given, and the coupling of the NBEM and FEM for the parabolic equation with unbounded domain is studied. Finally, a numerical example is devoted to illustrate this new method. [
出处
《计算物理》
CSCD
北大核心
2000年第6期593-601,共9页
Chinese Journal of Computational Physics
基金
国家自然科学基金
国家重点基础研究专项经费资助项目
关键词
抛物方程
自然边界归化
耦合法
热传导方程
parabolic equation
natural boundary reduction
coupled method
numerical implementation
